Ever since I heard a recording of my wife's voice captured in a room exactly like this - only with better gear - with absolutely NO room treatment, sound absorption, not even a reflexion filter, I realized that you didn't always needed to agonize over the room...
Personally, I hated my voice in that room. I tried all kinds of things with carpets and towels and furniture to get a better sound. The improvements were totally subjective. The biggest problem was, uh, my voice.
Profesional singers, people who are in perfect control of their instrument, like my wife and the guy recording the session, seemed to be able to record a stunning performance even in such a glass cage.
Incidentally - that guy's set up was placed directly against the windows, in the corner, with the monitors inches from the actual window. None of that prevented him from releasing an incredible final mix of that performance, without even anything like ARC...